SOLUTION: how do i evaluate an expression meaning two to the power of eight over two to the power of three

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Question 88735: how do i evaluate an expression meaning two to the power of eight over two to the power of three
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E8%2F2%5E3

When you divide common bases with exponents, you subtract the exponents

2%5E8%2F2%5E3=2%5E%288-3%29=2%5E5=32

Notice that 2%5E8%2F2%5E3 really looks like

2%5E8%2F2%5E3=%282%2A2%2A2%2A2%2A2%2A2%2A2%2A2%29%2F%282%2A2%2A2%29

2%5E8%2F2%5E3=%28cross%282%2A2%2A2%29%2A2%2A2%2A2%2A2%2A2%29%2Fcross%282%2A2%2A2%29 When you divide, it's like you're taking away 3 "2"s from the numerator. So that is the reason why you subtract the exponents.
2%5E8%2F2%5E3=%28cross%282%2A2%2A2%29%2A2%2A2%2A2%2A2%2A2%29%2Fcross%282%2A2%2A2%29=2%5E5 So you're left with 5 "2"s, or 2%5E5